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13945012632 = 23321011917631
BaseRepresentation
bin11001111110011000…
…00000000110011000
31022222212000001002100
430333030000012120
5212024410401012
610223430003400
71002366436335
oct147714000630
938885001070
1013945012632
115a06661431
1228521a6560
1314130c8685
1496408198c
155693c08dc
hex33f300198

13945012632 has 48 divisors (see below), whose sum is σ = 38141700480. Its totient is φ = 4602312000.

The previous prime is 13945012597. The next prime is 13945012663. The reversal of 13945012632 is 23621054931.

13945012632 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 5 + 0 + 12 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951544 + ... + 966087.

It is an arithmetic number, because the mean of its divisors is an integer number (794618760).

Almost surely, 213945012632 is an apocalyptic number.

13945012632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13945012632 is an abundant number, since it is smaller than the sum of its proper divisors (24196687848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13945012632 is a wasteful number, since it uses less digits than its factorization.

13945012632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917744 (or 1917737 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13945012632 in words is "thirteen billion, nine hundred forty-five million, twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 1917631 3835262 5752893 7670524 11505786 15341048 17258679 23011572 34517358 46023144 69034716 138069432 193680731 387361462 581042193 774722924 1162084386 1549445848 1743126579 2324168772 3486253158 4648337544 6972506316 13945012632